Modern Gyani

Dear students, In this chapter we will learn about Quadratic Equations. Below ⬇️ are the tutorial notes and videos. QUADRATIC EQUATIONS The polynomial of degree two is called quadratic polynomial and equation corresponding to a quadratic polynomial P(x) is called a quadratic equation in variable x. Thus, P(x) = ax^2+ bx + c =0, a ≠ 0, a, b, c ∈ R is known as the standard form of quadratic equation. There are two types of quadratic equation. (i) Complete quadratic equation : The equation ax^2 + bx + c =0 where a ≠ 0, b ≠ 0,c ≠ 0  (ii) Pure quadratic equation : An equation in the form of ax^2= 0, a ≠ 0, b = 0, c = 0 Question: Find the roots of the equation 2x^2 – 5x + 3 = 0, by factorisation.  Solution : Let us first split the middle term – 5x as –2x –3x [because (–2x) × (–3x) = 6x^2= (2x^2) × 3]. So, 2x^2–5x+3=2x^2 –2x–3x+3=2x(x–1)–3(x–1)=(2x–3)(x–1) Now,2x^2 –5x+3=0 can we written  as (2x–3)(x–1)=0. So, the values of x for which 2x^2 –5x+3=0 are the same for which (2x–3)(x–1)=0, i.e., 

Dear students, In this chapter we will learn about Coordinate Geometry. Below are the tutorial notes and videos: For any doubt don’t hesitate to comment below ⬇️ or in YouTube.

 Dear students, In this chapter we will learn about Surface Areas and Volumes. Below are the tutorial notes and Videos: Mensuration Maths- Definition A branch of mathematics that talks about the length, volume, or area of different geometric shapes is called Mensuration. These shapes exist in 2 dimensions or 3 dimensions.  Let’s learn the difference between the two. Mensuration in Maths- Important Terminologies Let’s learn a few more definitions related to this topic. Mensuration Formulas Now let’s learn all the important mensuration formulas involving 2D and 3D shapes. Using this   mensuration formula list, it will be easy to solve the mensuration. In general, the most common formulas in mensuration involve surface area and volumes of 2D and 3D figures. For any doubt don’t hesitate to comment below ⬇️ or in YOUTUBE.

Dear students, In this chapter we will learn about Triangles, chapter 6, class 10th, CBSE BOARD. Below are the tutorial notes and Videos. For any doubt don’t hesitate to comment below ⬇️ or in youtube.